I just read through all of your posts and a couple of things still stand out to me as potential problems.
First, your description of feeling like you needed to mop your floors every two days and go shopping to a couple of stores every day or two. Please know that your floors can go without being cleaned on a regular schedule. Other household chores can go by the wayside for a while too. It will be okay and you can do these things later when you are more physically able to do them.
If you need food or other items from the store, have your friends or family pick them up for you. Or call and find out if any of the stores deliver. This is too much activity for you if you are still as swollen as you are describing.
You mentioned that you were moving to a cane for walking. Are you able to walk easily with it? No limping or lurching? If that is not the case, then it's too soon for you to be on a cane. The purpose of a walking aid is to provide you with the stability you need to be able to take good, strong steps. You should have a normal gait with whatever aid you're using before you move up to a "lesser" walking aid. With my last TKR, I used my walker in the house for two months just because it helped me to be able to take long strides.
If you are only icing and elevating 4 times a day for around half an hour, that is not enough to get the job done with your swelling. You need to be icing constantly....any time you sit or lie down (and you should still be doing a lot of that as well). I iced all through the night too....both front and back of my knee....with gel packs. It helped me sleep.
That story about "frozen knee" sounds like it's coming from your therapists. They are not medical doctors and should not be making such statements to you! Most likely the reason you're not moving forward with your ROM is related to the swelling you have and the level of activity you're trying to maintain. You need to slow way, way down until things start improving. You cannot exercise your way to a better recovery. The more you try to do, the more swelling and pain you're going to get. Your knee is inflamed and irritated right now and it must settle first before you're going to be able to make much progress. If your therapists don't get that, find new ones!
Don't worry about doing any more than 10 minutes of those exercises each day....and they should all be gentle enough that they don't hurt - just maybe some mild discomfort. Gentle bends and stretches are good any time during the day for a few minutes. They help keep things loosened up. And at this point, that's all you need. It's not the time to worry about rebuilding strength....not yet.
I wish I was there to give you the big hug you deserve. This is a tough journey and you need people to lean on. Sometimes family and friends are not too understanding, but I hope they will give you some assistance. And, remember that your BoneSmart family will always understand what you're going through. We've been there!!! So post her often and let us know how you're getting along. We care about you and want to help.