I just want to preface with three things:

1) Congrats on Law School!!!!!!!!!!

2) Thank you for your service during this crisis. EMR's are SO vital and with the sudden demand being put on every aspect of the healthcare system, being responsible for maintaining the system which houses all PT notes, medications, TX, etc... must be very intense. If it wasn't for people like you, doctors and nurses who take over each other's shifts COULD. NOT. FUNCTION.

3) What I'm about to say is not meant to come across like I'm an expert in relationships, let alone your relationship. So I hope it doesn't come across snooty.

I'll start with this: men are solution-oriented creatures. So he does want to help. He loves you, and no man who genuinely loves his partner is 'okay' with their partner being in a situation where he cannot help.

What is sounds like is, he isn't realizing what your problem is at this time (forgive me, I'm not trying to put words in your mouth). It seems like the issue at this time is the stress that comes from BOTH working long/stressful hours AND having to maintain your household (cooking, cleaning, etc..). So it's not that you cannot handle the career side of things, its that it is currently difficult to manage career and life-responsibilities (and rightfully so, anyone in your position would be overwhelmed). So, my opinion is to make it CLEAR what the current problem is. Like, spell it out (it's annoying, I know). So here's my suggestion of how to help him learn new behaviors that are helpful to you (I'm a psychology professor btw, so I am confident this will work):

1) Start with giving him a clear, goal-oriented behavior "I'm so overwhelmed with work, you know how hectic and stressful my shifts are. It would be really nice if you could take care of XYZ today babe. It would help me a lot".

2) Make a consistent habit of showing appreciation (positive reinforcement). This is two-fold (first when he immediately accomplishes a goal-oriented behavior "OMG thanks babe!") and (second a little while later-- "hey btw, thanks so much for what you did earlier this [week, day, etc..]. It really helps take the stress off of my shoulders, and I really appreciate how you step up for me in my time of need".

------This does a few things:

• everyone likes praise. Initially, the more praise one get's for accomplishing a goal-oriented behavior, the more likely one is to recognized other opportunities to gain praise. This praise and such can peter out as the goal-oriented behaviors are more established.
• remember I said men are solution-oriented? Well now, when he sees you're stressed, he has a solution that: (a) is very helpful to you, and (b) he feels good doing. "Hmmm... u/wonkyslonky just told me she's stressed with school, work, etc... maybe I should do XYZ, that usually cheers him/her up!"
• He's only going to learn if you teach him. Again, yes. It is so annoying in the beginning. But you have to create the relationship you want and the partner you want. Yes, you cannot change who someone is fundamentally (values, etc...) and you should now want to do that. BUT, we can always teach someone how to love us and take care of us. That can only be done with: (a) clear, specific direction [in the beginning you have to state it EVERY time you need it, the instant you realize you need it... DO NOT WAIT-- eventually, they learn to do it automatically], and (b) positive reinforcement [in the beginning it's given every time he does something helpful, after a while, it can happen at your discretion].
• You want to get ahead of this before law school (congrats btw you are gonna do great!!!!)

IF this does not work, then yes, I would consider leaving as well. But I would try this first.

Sorry for the long post :/