Using a snot sucker more than I think 4 times a day can irritate the nose even more. You can give a nasal saline in the meantime, and use humidity to help clear her nose
For any baby under 3 months you should call your paediatrician asap for any sign of illness. <3
GP will see you the same day regardless what time you phone in the UK when baby under 3 months old
I’d ring 111 for advice regards the calpol x