Hi Marty, you may want to consider Bostik SIMSON ISR 70-03 for the bottom edge of your screen.
It's what the glaziers use at glass joints, also widely used by light engineering shops and the like.
Wonderful stuff and highly recommended.
Comes in a mastic tube, clear or black, you apply masking tape where you don't want it, gun it onto where you do want it, then spray with that window cleaning stuff, which allows you to work and smooth it with your finger/s without it sticking to you or dragging. In the event of sticking or dragging, spray some more. Feather it where it meets the tape, which you then strip off as soon as you have finished smoothing.
I used it (with some trepidation) between my windscreen rubber and the fuselage and was very pleased with the result: the black literally looks like part of the rubber fitted perfectly to the fuselage.