Welcome to YT~
You sure do have a lot going on with your little one. I will break each issue down and try to answer all of your concerns.
House training
First off you need to get a good enzymatic cleaner and use it all over the house to clean up an urine. At this point if she has been peeing all over the house you need to clean up first. Try something like
Nature's Miracle
After you clean then you can start to train her all over again. You have 2 choices either crate training or tethering her to your person. Either way she is not to be left alone EVER until she is full train. You cannot let her wander from you unattended and either attach her to your side with a leash and harness or into a crate when you are not able to keep her right next to you.
Every 20 minutes you need to stop and take her out potty. Give her 5 minutes on a leash or around the yard. Tell her "got potty" and when she does IMMEDIATELY back into the house. If she does not do in 5 minutes back pick her up and take her back into the house. You need to either keep a leash on her and she need to be attached to your side or placed into her crate. NO EXCEPTIONS!!!! If she does go potty you can allow her a little freedom but only where you can keep a constant eye on her.
This part is very important----if she does potty you do not need to take her out again for about an hour. But if she doesn't potty then she goes back out for 5 minutes about 20 minutes later. Remember this is not the time to look at the birdies, watch the clouds, bark at the neighbors it is potty time.
Make sure you praise and treat when she potties outside. You need to praise immediately and not wait until you get back into the house. She will not associate the praise with the potty if it is not immediate praise.
Pick up any poop if she goes while on you potty time. I will explain the poop next.
Poop Eating~is just GROSS!
I would suggest that you use pineapple and you can even add canned pumpkin to her diet along with her food. Feed the pineapple like a treat several times a day. The canned will work just fine. It is not an immediate fix and will take about a week to see a real improvement and you will need to make adjustment to the amount that you feed her. Start with 1 or 2 pieces between meals and if she is still showing an interest in her poop you can add a piece or 2 more from there. Make sure you pick up all poop so that she is not tempted to have a snack.
I promise that it will work if you are consistant. Everyone that has said pineapple didn't work didn't feed it often enough. It is safe to feed, will not upset their tummy and they LOVE IT!
In addition to the pineapple you can add a spoon full of Packed Canned Pumpkin to her food as well. The pumpkin will also make her poop taste awful like the pineapple. You can add a little warm water to it and make a gravy to coat kibble.
Leash training~it just takes practice and lots of it too. If you use the leash inside the house to house train it will also be beneficial to walking on a leash as well. She will learn that she needs to stay with you at all times.
Car sick~Is it that she is anxious when you take her into the car or is she throwing up?
If it is anxiety then you need to work on car trips being a pleasant experience. Make it a point to take her to the car and just sit with her, give her a few treat and NOT leave the driveway.
I've also read that ginger is good for car sickness. I haven't tried it yet but I did buy some organic ginger candy (for lack of a better word) at the check out at Target the other day. I'm going to try it for my Bogey and see if it helps.
I hope this covered all of your questions. It is very frustrating to have to deal with all of these different issues. Try not to stress yourself out over all of it as one package and work on each issue individually. If you really take a look at all of my suggestions they kind of all tie together. Good luck and if you need any more help you can PM me too