Toothpicks work well as dowels in 3/16th 1/4 size stringers.

I would use 30 min epoxy.

Apply a very thin coat rubbed in well on the gluing areas use a hair dryer or some other heat source to help the epoxy penetrate the wood, scrape off any excess.

Allow to cure for 30 mins to an hour MAX.

Apply a more epoxy and make the joint with clamps if possible. Again scrape off any excess.

When I am building I make every effort to keep the tail of a model as light as possible. Excess weight there requires a disproportional amount of nose weight to get the CG in the right place. One 0z at tail will need about 8 oz lead in the nose to compensate. Light models fly better.