Be very careful with neem oil, and only use a tiny bit, and set your sprayer to the FINEST mist possible. Spray, let dry, repeat until you see just the SLIGHTEST increase in glossiness... if the leaves look like they have been coated in varnish, expect a suffocating plant within days.
Also be careful this close to harvest. It will make the buds taste poopy.
REally your infestation is not all that bad, and you can probably get through to harvest just fine. Then, bomb your grow area with a pyrethrin based bug bomb twice, spaced 4-5 days apart. This kills protected life stages too.

Remember with any oil product.... MIST LIGHTLY!!!