My approach to fearful or aggressive rabbits is a bit different than most people here on RT. Let me preface this by saying that I have never had a truly aggressive rabbit, just grumpy ones.
Wear gloves and preferably a heavy shirt. For moving her you may want to wear a quilted flannel that you can remove when you are working with her so you don't die of heat exhaustion.
You want to be well protected so you can exude confidence instead of fear and hesitation.
I would take her out of the cage every day for the next few days. The way I pick up my rabbits is by grasping their shoulders and pushing down gently toward the floor. I then slide my other hand under the belly and lift while pushing the shoulder holding hand toward the hand holding the belly. You may want to have your thumb on the outside of her thigh, with the rest of your hand under her belly so you can "stretch" her if she starts to kick.
As soon as you have her out of the cage, tuck her into your body. If you are wearing an open button-down shirt, tuck her head underneath it so she can't see while you carry her to a grooming table. When you start to set her down, do not do so if she starts to kick. Lift her back up and try again until she stops struggling. Once she is on the table, keep your hand on her shoulders and pet her until she relaxes a bit.
I like to spend 5-10 minutes grooming them after that. I have Rex, so I mist them with water or a combo of vinegar and water. Stroke her firmly from head to tail and tail to head. It is like a "bunny massage" and she should get to enjoy it.
Practice lifting her up and setting her down several times as outlined above.
When returning her to her cage, make sure to put her in rump first so she doesn't try to jump from your hands back into the cage. Again, hold her by her shoulders until she relaxes before letting her go. Be sure to have a tasty treat for her. Fresh greens, a small slice of apple, a bit of carrot, or some dry bread are good choices. If she wont take it from your hand, just set it in the cage for her.
Some rabbits are aggressive when at chest level, so you may also try moving her to a cage that is closer to the ground. If she is stressed by something in her environment, giving her a hiding place is a great idea. You could also cover the top and two or three sides with cardboard. Use zip ties to secure it to the outside of the cage.
She may also be very hormonal right now. Since she only has one kit left to raise, I would rebreed her as soon as possible.
As for the feed tipping- if you can rig something up to attach the feeder to the wire elevated to about six inches, that may help. You can repair your J-feeder with expanded metal mesh- I guarantee she wont be able to tear it apart. I cut the width to fit, and wedge it into place. You may want to secure it with hot glue, but I didn't find that to be necessary.
Best of luck! I hope you can get her settled. :clover: