The brakes from a Civic Type R should be ok. However, don't forget that your rear brakes will be drums which means a disc conversion on the back. This means the whole beam needs replacing.
The 2 litre head wouldn't really be worth it imo (and I'm pretty sure it wouldn't fit). You may as well just drop in a bigger engine that has higher tuning capabilities.
When you say Hond-R... are you you talking about the tuning company in Oxford?