How old is Squeak? I seem to recall he is a baby?
I would definitely bin the happy hut- they are bad news for ingestion and compaction, trapping toes/other body parts and they are also a huge trigger for hormones. Birds only need a good sized natural perch for sleeping.
I also personally would get rid of the cuttlebone (I do not like them so I do not buy them), they are germ city once they have been used a bit and sometimes even before. There are better sources of calcium and also beaks can be kept healthy by offering lots of wood to chew.
Common little bells like what are found on many pet shop toys are often a cause of bad beak or toe injury so many owners will suggest they be removed from all toys before offering the toy- I remove certain ones but as I know how my little (my big boys have well made unbreakable safe bells) one plays with the bells I am ok to leave some for a short while (they rust too fast for my liking so as much as my little guy loves some of them he does not always have them) but I have purchased him some safe bells but unfortunately he really does prefer the teeny unsafe ones... they fit beautifully on his head lmao.
Depending on what species Squeak is and how strong he is you may be best to replace the snap hooks you have used to hold the sea grass mat in place with some safe quick links, some birds can open them snap links then get stuck on and in them so best to use the quick links for hanging everything. My macaw found one of them horrid snap clips in some of my stuff he managed to find him self in
and pinched his tongue in it before I could get it off him
I have seen horrible photos of other birds who were less fortunate than my macaw.
If the lower perch I see with white on half of it has been painted it will need to be removed- paint chips (even if not toxic) can and do cause impaction.
Make sure to inspect and check for any chewing or preening of the cotton perches you have- if your bird is chewing them then there is the possibility of impaction, toe/body part snagging and hanging are also common issues with cotton perches so a daily check over of them and snipping off any loose threads helps to reduce chances of danger.
I can not offer them to my macaw as he busts a heap of fibres then preens them into fluffy fibre clouds and my cocky needs to be watched with them so he only has them out of the cage and then I need to snip off the pulled threads after he has used them. My budgie does not get them as he has gotten his tiny nail tip caught in the cotton way too easy.
Hair ties are something I only let my guys near when I am supervising- I have had two of them get them over their heads lol
Each bird plays and interacts with things differently so you will need to learn what your bird is likely to find itself in trouble with and decide what you feel is safe enough to allow or not.