I think even 0.0002 might be enough, if you want to save 0.0003 you can try to open a test wallet on https://testnet.counterwallet.io to test (you would need to get a small amount of testnet bitcoin to test; if you don’t know how you can paste your testnet address here and I’ll send it to you).
Of course, it’s your token/wallet.
The lock icon means the issuance of SJCX coin is locked by the issuer (Storj), i.e. they can’t issue any additional quantity of it.