If the cow calved 10 months ago, that is a bit different than if it were only 4 months ago. Here are a few thoughts based on what you described-
-The cuts on her teats are from the calf nursing so vigorously. Big calves really chomp on the teats, and can crack or cut the teat, which is obviously not good.
-The cow being attached is totally normal, they (
should) have very strong mothering instincts.
-I would really not try to physically control or restrain a large bovine. All it takes is one accident and you will get seriously injured. Blocking a cow is a bad bad idea.
-Trying to make her move, if you use a stick, and tap her on top of her tailbone, you should get a respone. If not, try a little harder. The bony part at the base of their tail is quite sensitive, and she should get a movin'.
-Halters with unwilling cows are dangerous. Lots of ways for things to go wrong and you to get seriously injured. At this stage, I would not try to use a halter at all, it is just too dangerous, and the cow is too strong for it to be effective.
As to your proposed solutions, some thoughts-
1) Cows dont really 'think' in the same way we do, and dont have quite the
ego either. So I wouldnt worry that 'she will be worse later if she thinks she won'. I am not sure that cows even exist in a way that includes human concepts like 'later', 'think', or 'won'.
2) Cows do respond well to consistent routines, but it sounds like your circumstances are not conducive to that. So I wouldnt go this route in your present situation.
3) Definitely a good idea to permanently seperate her from the calf. Nothing good is happening for either her or the calf at 10 months post calving. Keep her away from her calf for a long time, even when she has her next baby, the old calf may still try to nurse. I have seen 18 month old bulls go straight for the udder, and then proceed to breed that same cow. Mama cow will be upset about being seperated. She will likely moo all day, and the calf may moo itself hoarse. Within a week this should settle down. Leaving the calf with the heiffer is a good idea.
As for milking the mama cow, if she is 10 months post calving, I would say it is in her best interest, long term, to just dry her up. That is a good length lactation. Putting two calves on her now would really be a strain for her declining milk production, and may compromise her health in the long run. On a seperate note, cows are great at nursing calves! I would never milk a cow just to feed calves when she is a natural professional at that, and you are a busy mom yourself. Cows are different in their receptivity to nursing adopted calves, but most are willing if the calves are eager.
Remember, safety first. Cows are big and powerful, despite being perfectly gentle. They do have to be mean to hurt you real bad. Never put yourself in a situation where you are dependent on the cow doing the right thing, to keep you safe. The farmer is the most important animal on the farm. Safety first!
Any further questions, feel free to ask. I run a small herd of big Brown Swiss
dairy cows, and have learned just about everything I related the hard way. I am happy to share my experience. good luck!