If hop choice is limited, Willamette makes a good substitute for Fuggles and would be a decent choice for and English IPA. My first batch, Northern Brewer's India Pale Ale extract kit, used Summit, an American bittering hop, for its 60 minute addition, so there's some wiggle room there, but mostly in the bittering, not later on.
In addition to what others have said about the choice of hop, I wanted to weigh in on the hop schedule. I've not seen a 45 minute hop addition very often. A more classic hop schedule for an English IPA is 60-30-15-1. (That's the schedule on the Northern Brewer kit.) I'm not saying don't do the 45 minute addition, but that by leaving out the 1 minute addition, you might sell yourself short on aroma.
You might also think about dry-hopping it for a few days before packaging. This is common practice with all English ales. Restraint is rewarded here, though, as you can end up with vegetal and grassy flavors from overdoing it on the size or length of the dry-hop addition.
The wheat is interesting, if nonstandard. Same with the CaraRed. I'm envisioning something slightly cloudy and dangerously red.
I dunno. It looks like a nice beer to me. The only problem is you're calling it a Traditional English IPA. Change the name to Better Red than Dead American IPA and you'll have people beating a path to your door. If you want to brew to style, though, at a minimum, go with what my esteemed co-answerers have said about choosing English-style hops. It does make a real difference.