that's one ugly finger.
to the nerve damage. Way to soon to determine if there is any permanent damage. Compression of a nerve can cause temporary loss of sensation (if you couldn't feel anything, how can you claim it hurt?). Nerve damage can take a long time to heal, sometimes up to a couple years.
Is there any other actual damage that is more than short term?
based on the info you have at the moment, no way to determine if you have a case. If there is some permanent damage, it is likely you have a case. You then need to realize that the damages are not extreme and as such, any payout would not be all that large generally.

