See Transactions.
The Transfers tab shows tokens transfers only, however, you can see a transaction for each transfer too, if you click on it.
Regarding MEW - perhaps you need to register a STORJ tokens contract address for zkSync Era Mainnet
See https://help.myetherwallet.com/en/articles/5974186-custom-tokens-on-mew-wallet
However, make sure that you selected a zkSync Era network before adding a custom token.
I didn’t find a way how to switch to zkSync Era in their web wallet and do not see a way, how to add or enable this network in the Web wallet, but you can add a custom token only in the web wallet, not in the wallet app. So I suggest you to contact their support.
By the way, this is possible with a Metamask Wallet/browser extension.
Right now seems the only way to perform transfers or withdrawals is to connect your MEW to zkSync Era Bridge and do it there. To see a balance you always may use the zkSync Era Block Explorer.