Yes, that will allow you to teach year 9/10 and above. This actually also includes sixth form (post-16), since it is with students aged 14 and over.
Try not to go with that degree. I recommend you consider an ordinary secondary PGCE as this will give you the best experience. With this, you can teach year 7 to 11, plus you can elect to teach sixth form (post 16) with this route too. It gives you better future prospects.
Once you have a PGCE, you are free to teach all sorts of year groups, but you might be limited with a PGCE Post-14/16.
Not too sure about part time routes, but if you can, go for full-time. Again, you'll be at an advantage, gaining a fuller experience.
It seems to me you are taking the easy route into teaching, but try to not tie yourself to a particular age group. You might not enjoy it and you'll wish you did the proper degree!
I obviously do not know your reasons for choosing this particular PGCE or why you want to go part time, but its your choice at the end of the day