There isn't an Archery Store in Lumbridge.
In the same place they are obtained, the Ranging Guild.
Training it on Elementals Outside Falador
train your three combat skills: attack, strength and defence. A few guides which tell you Runescape tips such as: where to train, what level you have to be to train there and how to get there are: Sals realm of Runescape and global Runescape. I hope i helped!
TRAIN
Train.
you train it
Train skills.
You train you skills.
Make things.
Train your skills.
A good way to train combat in Runescape is to go to Soul wars. whats the best thing if im nonmembers