1. The PSV reaction force, commonly provided by relief valve manufactures, is only applicable, as a horizontal force, when the outlet from the relief valve is completely open - no discharge vent pipe. As that is the point of discharge. Yes? Once a discharge pipe is added, the point of discharge is changed. Yes?
Yes, the earlier thread by mariog explains this.
2. The value of your F1 is from the momentum at the elbow : F1 = M*V, in both the vertical and horizontal directions. Yes?
The vertical component does not cause much problem ( it doesn't cause bending moment) if you provide a hold down at PSV i/t, which is a general practice to avoid vibration problems.
3. Why show a horizontal force F1 at the PSV body on the left side of the image?
Pl. refer, "Momentum Balance" on page 6-6 of the 7th Edition of Perry's Handbook and Example 1 on page 6-8.