For unfreezing your licence, the CAA don't care whether you are Handling or non-handling pilot. You will have enough PICUS and PIC hours in your book from your initiall approved course for that - all they need is the reqd. total.
Whether you log it as PICUS, P2, shouldn't matter as long as it's not counted towards P1 totals (Aircraft Captain)
If your logbook is countersigned by your captains it can save a lot of grief at the CAA when you turn up with forms/cheque/licence/logbook for unfreezing, so if you can, do. If not possible, get a signed (headed?) letter forom your Chief Pilot/Base Captain certifying that the hours totals in your logbook are correct.
Tipp-Ex? Makes your flight bag heavier if you use too much but how many mistakes can one make in 1500 hours?
Not bad, just messy!