So right now they have separate cages, right? Are they close to one another? If not, sit them right next to each other. Let them flirt and think about it. If you can, leave the old eggs in the bottom of the hen's cage for a while longer and let the cock see she has eggs. See if he is drawn to the eggs. When Gracie Tiel was young, she laid two massive clutches of eggs (first year 17 & second year 14). Her new mate was around and became interested in the eggs in her cage the second year and tried sitting on them till Grace threw him out of her cage each night. I knew Chip was interested in Grace because he sang to her and did heartwings from early fall on. Grace wasn't moved and ignored him for a few more months, however. Then she started allowing him to sit by her, eat with her and, finally, to groom her. Yet, still, he was not permitted to stay in her cage at night for a few more months. I was working night shift and would always remove him from her cage right before I left for work at ten pm. In December, when he continued getting into her cage at night, I did an experiment and closed and locked her cage door with Chip still inside. I stayed close for another hour to make sure she wasn't going to object about him being in her cage. No problems. Chip and Gracie co-occupied her (larger) cage from that day.
I started hearing some weird bird sounds after going to bed in the morning, but I didn't think anything about it. It wasn't fighting, so it was OK. Little did I know they were mating. Gracie laid eight eggs on the floor of the cage (I did not want babies, so I did not give her a box). They took turns sitting on the eggs after a week or so. One day I cleaned the cage and placed the eggs in the top of a small (four inch by four inch) box and then placed the eggs, still inside the box, onto the floor of the cage. On February 20th, I came home, as usual, made my coffee and oatmeal and let the birds out. I came into the living room to eat my breakfast and relax before going to bed. I sat down in my rocker and started the oatmeal. Gracie came over and helped herself to the oatmeal, milk and sugar and interacted with me for a few minutes while I watched the news. She then flew back to the cage and Chip came over and helped himself to my toast. I heard this high pitched rhythmic peeping, looked over to the cage and saw Gracie has feeding this... pink thing from her mouth. Or was it a bug that was bothering her and she was fighting with it? I walked over and saw the tiny pink thing had a beak and two feet and tiny wings and... Gracie had a baby!!! I was so shocked, my knees were weak. I had to sit down. I watched in wonder as Gracie continued to take oatmeal from my bowl and Chip toast from my breakfast and feed the baby. When I finally called everyone I knew to announce my grandbird, and I was ready to go to bed, Gracie refused to allow Chip to be locked into the cage with her. He was very upset; he wanted to be with his chicks. I called Gracie's breeder and they said she could kill Chip if I insisted on locking him inside the cage. I set up his old cage next to Gracie's and locked him in. He perched, grasped onto the cage side closest to the babies and stared at them. Grace didn't let him back in the cage for two weeks; he could go in when she was out and feed them, but he wasn't allowed to stay until she had hatched four of the eight eggs and had four growing babies to feed. All four chicks weaned and fledged and that started my breeding years.
Why tell you all this? To give you an idea of what to look for to determine if they will accept one another as a mate. Some birds don't like some other birds. If he does not make a move to move in with her, then get an entirely new, larger cage and let them get familiar with it. Then, one day you can lock them in the new cage together and watch them; see if they are upset or accepting it. If they settle down and occupy the new cage, then remove their old cages where they can't see them.
I have found the best breeder box is a plain square six by six or larger wooden cockatiel box. I attached it to the back of their cage, jutting out from the bars. I had cut a temporary hole in the bars so they could go directly into the box through the cage. You need to have the opening of the nestbox defended. I made the mistake of keeping the cage door open and one of the love birds got into a nestbox once and maimed a baby cockatiel. Luckily Grace had been in the box and chased the lovebird out right away, but the chick lost just about all of her upper beak and I ended up hand feeding this chick for eighteen months before I could wean her. Diva was a wonderful bird, however; just not much beak. She eventually did grow back enough beak to feed herself, but she had to eat pellets and could not shell seeds for herself. One of the negatives of breeding; other birds breaking into nestboxes.
Don't do more than one clutch of eggs a year. The parents get really run down raising the chicks. It is hard work for them. I let them raise the babies and I just handled them several times daily to tame the babies. Hand feeding is a time consuming and long process and may or may not produce 'human favoring' chicks.
If you have more questions, ask.