Can you give me some advice on my garden?

I’ve been working on a new garden for a couple months now, and it’s not going so well. Many of the seeds I planted refuse to grow. Some of the sprouts that have popped up, and the few starter plants I’ve put in, are getting nibbled to death by some kind of animal. And on top of all this, I am having terrible problems with weeds, mostly grass and what I think is oxalis.

I’m really surprised that the seeds aren’t coming up; the same ones did well in my other garden about 15 miles away. Is there anything I can do to coax them up, or should I just keep trying different plants and different varieties?

To keep the bunnies and other little things from eating them, I guess the best option is to build a fence? We already have a wood fence (although the gate is broken) that is easily scalable by things with claws, but I think most of those guys are probably carnivores anyway? So if we put in a waist-high chain link fence, would that do the trick? Or maybe just fix the gate we have so it closes more securely?

And last, what do I do about these fucking weeds? Some of the oxalis bulbs are more than 2 feet down, deep into heavy clay that’s a bitch to dig through. I have probably 20–30 new ones every week. And then pulling out the grass blade by blade is terrible. There are some corners that I’ve just given up on.

Thanks for any suggestions.