Firstly, I was adamant that I wasn't going to give DD a dummy. I lasted 4 weeks and then caved in and gave her one. Now she's heavily attached to it and wakes up screaming if it falls out of her mouth.
You can work on getting rid of it if you want
2. DD is yet to sleep through the night and still wakes up every 2-3 hours and I feed to sleep (another thing I was adamant I wasn't going to do!)
This is totally normal! My DD was fed to sleep until 19 months and still doesn't sleep through now, sleeping through the night doesn't make you a better parent, all kids are different
3. She sleeps in my bed and is yet to go in her own cot, unlike many of the other babies at the baby groups we go to.
My nearly 2 year old still sleeps in my bed, she's happy and I like it, who cares what other people do! Doesn't mean you're a shit mum
4. Tried baby led weaning which was a complete fail and DD will only eat puréed foods. I'm worried this will hold her back from developing her fine motor skills as I'm spoon feeding her, rather than her picking up the food herself.
She's 7 months old!!! You've only been weaning for a month she's got plenty of time to work on BLW, BLW is relatively new and children managed fine starting on purées before. Not everyone does BLW. You can just increase the lumpiness of the purées.
5. I am still breastfeeding every 3 hours/on demand.
Again, she's 7 months old. Breastfeeding is her only source of nutrition at this age. Food is just for fun until she's 1 (and you can carry on breastfeeding then too!)
I breastfed DD until 19 months on demand. There's nothing wrong with it.
Everything you've said is totally normal and you sound like a brilliant mum!