See an ortho who specializes in hand/wrist. It is an incredibly complex and delicate area we're dealing with here so treat it with respect.
When you get back in the game, I strongly recommend you apply what I call the Weak Link theory. I'm sure you've heard the adage "a chain is only as strong as its weakest link." In your case, I think it's best that you perform direct grip work (and I certainly don't mean wrist curls). Also, when you do heavy pulling, I advise you to utilize straps a bit more than a lifter who is not prone to wrist/hand injuries. The exact protocol of when, how much, and how often you use the straps is something you and your coach (if you have one) will need to dial in.
I also strongly advise you into researching the ramifications of strengthening the flexor digitorum profundis. This is the only muscle that flexes at the distal phalanges (the finger tips). It also helps to flex the hand. In my experience, with myself and my clients, this muscle does not get enough stimulus because a regular barbell only taxes the flexor digitorum superficialis.
So, if you strengthen the profundis, it will be able to assist the superficialis AND if you "lose" the bar and it rolls down to your fingertips, you'll be better prepared structurally (although, as you found out, it's best to simply dump the bar). This thick grip training concept is not new; products such as fat gripz have been around for a while now. Here is a link to a cost effective alternative:
For heavy pressing, you want something more dense such as the fat gripz. However, for pulling, I've found my solution (in the link above) to be much more effective because the foam allows for custom molding of each finger.
Regardless of the type of device you employ (you can keep several in your tool box), I find it works best when doing pull ups/chin ups, db/barbell curls, ramping up on deads or RDLs with a light weight (or simply use them on your repetition/volume days if you have such days in your routine). I'll say it again: wrist curls and extensions are neither the only nor are they best method.
The above observations regarding the two flexor muscles is not some cool class room theory. It's evidence-based with a foundation in science. If you see the pic below (that's me, btw), I know a thing or two about the importance of grip strength.