Hi,
A few points...
1) Claying (more or less) removes all wax's/sealants from your paint, you absolutely must re-protect your paint afterwards to prevent oxidation etc.
2) T-Cut is NOT an effective wax - it offers little or no protection. Buy something else!!! It sounds like you might be getting your products from Halfords etc, so from there I would probably go for Autoglym Super Resin Polish followed by a coat or two of Autoglymn Extra Gloss Protection, or alternatively Meguiars NXT Paste Tech Wax.
3) Regularly using t-cut is going to totally f##k up your paint - its quite harsh. Autoglymn Super Resin Polish has similar effects but is far far milder.
4) The cleaner wax that came with the kit... You'll have to say what its called exactley to be sure, but it sounds more like a paint prep used before applying wax.