Looking for some advice?

Hey there, first time posting here. I brought home my Japanese Spitz puppy about 4 days ago (she's 11 weeks old), and I adore her. But I'm so tired and overwhelmed and could use some advice and help.

I absolutely adore her, I put so much research into her breed, her breeder, etc., but I'm just struggling.

Potty training is tough. I take her out often, but lately she won't go outside and will just go once I put her back in her play area. I use deodoriser and cleaner to make sure the smell doesn't stick around, but I'm not quite sure what to do. Whenever she goes to the toilet outside I praise her thoroughly, but I'm not sure if this is just the current phase she's in and she'll grow out of it, or if there's something else I could do?

Every night she goes to bed in her crate. I try to make it a fun, happy safe space for her. I cover it, there's a couple chew toys for her in there, a snuggle toy that smells like her mum, a blanket and a yummy chew. She'll whine for a bit once she's been put in her crate but will eventually settle. However, in the mornings once she knows I'm awake/it's morning she will bark/howl incessantly. I try to wait for her to be quiet before letting her out, but she gets so hyper and gets so, so loud and excited to be let out, even though I try to keep it calm and boring.

She usually has accidents in her crate over night too. And I do the same thing I mentioned earlier, but it tends to happen every night regardless. I don't get mad/frustrated with her, because I know she's only small and can't control her bladder much, but I really want to do the right thing.

Shes a little white fluffy thing, and whilst I bought a bunch of different types of brushes for her coat, I've ended up just using a rubber brush (same one I use for my double coated cat) as it seems to bother her less. Even still, brushing her at the moment is getting a couple strokes in while she's distracted. Not the finest work but at the moment it's the best I can manage. She also gets quite annoyed with me when I try and clean her paws up after being outside. I'm Australian, so we have a lot of prickles and dirt outside. Her coat doesn't get dirty so much, but I try and wipe down her paws and she is not a fan of it. Im trying to desensitise her to having her body checked over (ears, nose, eyes, teeth, tail, paws included) and treating her when she lets me, but I'm not sure if there's anything better I could do?

Will it get better? Is there anything else I can try to do differently? I know I've only had her 4 days and she's likely still settling, but I just want to give her the best chance of success I can. I want to do dog sports and lots of advanced training with her as she gets older, so I want to do everything I can.

Thanks!