No, each bathroom does not need to have its lights on discrete circuits. Of course, if you wanted to do it that way, there's no problem with that.
More importantly, as the circuit has been modified, it must be brought to the standard of present regulation (17th edition wiring regulations). That means - amongst other things - that the lighting circuit(s) for the bathroom(s) MUST have additional protection by 30mA RCCD.
The rating for the circuit breaker is calculated from the capacity of the cabling, and the load on the circuit. And the cable capacity must be calculated by taking into account the erection method used for the cabling, whether or not it runs in a group with other cables, whether it is under insulation or runs through insulation. Each of these has a corresponding rating factor that must be applied when determining cable size & breaker rating.
Most important of all, is that this work needs to be notified to your Local Authority Building Control (LABC) who will require plans prior to commencement of the work. They will also want to inspect and test the circuit(s) to ensure the work is safe and complies with regulations. There is normally a £200-£300 charge for this.
Alternatively - and far safer - use a registered competent electrician (ie: a member of NAPIT; ELECSA; NICEIC or BSI) to do the work. They can notify your LABC on your behalf via their registered organisation without the need for the LABC to appoint their own inspectors and testers.