Non RCD side makes it easier, since you can then use a split load CU in the workshop/
Regards capacity - the short answer is yes you probably can upsize the MCB, however there is stuff to check first.
As to MCB brands etc, its easiest to get the same type if you can. However there is some level of interchangeability. See the early draft of the interchangeability table here:
How many cores?
According to my table here:
The smallest 6mm^2 is 15.9, and the largest 2.5 (4 core) is 15mm - so probably not those.
So 4mm^2 seems possible...
How long is the cable run in total?
Does the SWA go right up to the house CU or does it switch to T&E first?
What earthing system does you house have?
Yup, a dedicated circuit with a type C MCB may be required for that.
Which means you can forgo RCD protection on the lighting circuits then if you wish. (or use a RCBO anyway)
Again, it partly comes back to what earthing system you have. If you have a split load CU with only one RCD then it must be TN-C-S or TN-S. The former can normally be spotted by the way the main earth connection will come from the cable head end unit adjacent to the neutral tail. (TN-S will usually be a connection to the cable armour before the termination to tails). Post a photo somewhere we can see it if in doubt.
Any other services into the garrage like mains water, gas etc?