I noticed I have 2 .00001 BTC deposits in one of my wallets. One was from 2022 and one was a month ago.
Op, this is looking like you have 2.00001 BTC deposit in your wallet. That is huge to imagine for a random transfer. You can edit it and say this;
I have two .00001 BTC. Just for express clarity.
I have no idea where they came from.
The Blockchain is transparent. Trace it and see if it sends a fix amount like .00001 to multiple addresses, you could have a clue.
The reason is because I tried sending a small donation to a Russian owned website from Coinbase and Coinbase stopped the transfer and they forced me to answer why I was trying to send money to a USA sanctioned bitcoin address.
Is it at all possible that those odd .00001 BTC is the FBI trying to watch me or would they have better means to do that?
It's likely FBI watching you. Trust your intent. Coinbase must have marked and forwarded your address to them. You don't make donations to restricted regions from an exchange.
Don't use any mixer for now in order not to complicate issues, unless you have a cockroach in your cupboard.