Janet Baraclough.. wrote:

...Rabbits can easily hop over 12 " and between bars. If you get winter
snow, it will lift them up higher, so you need taller fence wire.

For 20 years I've used 3ft high chicken wire, with the bottom 6 "
turned at right angles and pegged down. This prevents burrowing and
wriggling under....



I've had rabbits jump over 4' fences without any apparent effort.

I might suggest that you plant clover in your lawn somewhere away from
the plants you want to protect. That in conjunction with a reasonable
fence might help since the clover will be there (eventually) for the
rabbit to eat, eliminating the temptation of negotiating the fence to
get to the other plants. It takes a couple of months to establish
clover, but if you get the right clover it's a perennial. Something like
Dutch White clover fits into lawns fairly well without looking weedy.