Will 8 days be enough time to recover after a rhinoplasty and chin augmentation? (Photo)

This depends on what you mean by "recovery." After eight days you
should be feeling fine and able to do just about anything--the
exceptions being that you'll need to avoid strenuous work and being out
in the sun. You could still have some bruising at this point, and it's
likely there will be some swelling.
Arnica montana does help many patients. Take it as directed by your plastic surgeon and follow any other advice he or she has about speedy healing. Initial
healing from a chin implant is pretty quick for most people.
Rhinoplasty recovery takes a little longer. Makeup may cover any
leftover bruising, but my guess is that people who know you well may be
able to tell something is different. Consult your plastic surgeon to
learn more specifics.

Maybe but over the internet we can give ONLY generalized recommendations not specific to your exact case... In my opinion for 3 weeks is needed for 80%+ recovery. 

There is usually more bruising associated with the rhinoplasty than a chin implant. It is possible to return to work 8 days after the procedures, however you will most likely have some degree of residual bruising and swelling. In our practice, we tell patients to expect approximate 10-14 days of some degree of swelling and bruising which is variable among patients.