That all sounds pretty reasonable, assuming that the cable to the garage is in satisfactory condition. With the sort of loads you're talking about, you probably wouldn't need to upgrade the MCB, but it would give you that 4A (a bit under 1,000W) of theoretical extra capacity if you ever needed it. 16A equates to 3.680W at 230V, 20A to 4,600W.So, it looks like a plan could be:
* Upgrade MCB to 20A.
* Connect garage cable (2.5 T+E) to socket underneath CU.
* Cable into garage feeds 2 or 3 double sockets. (Radial circuit).
* FCU off one of the sockets for lights.
Oh, I didn't mention there'd be a 130W fridge freezer in there too. That'll be the only device on 24/7. As I said earlier, the only other equipment being used will be lawnmower, power tools, charging batteries and LED decking lights - and not all at the same time.
Kind Regards, John