Ally, I agree it sounds like BH. I didn't have painful BH at all with first pg, this time I've been having them for weeks. Each time they start I think it could be labour, as they feel so much the same.
34 weeks is usually the point at which bubs just require the SCN rather than NICU. A friend of mine had a 34 weeker that was small for gestation and still only needed SCN. Bub was home after 2 weeks and is thriving. So if it were to happen, it wouldn't be ideal but it wouldn't be a disaster either!
Good luck!
Melanie