Who knows "the passionate shepherd to his love? "

i have two questions.

1) "the country swains shall dance and sing/for the delight each may morning. if these delights thy mind may move, /then live with me and be my love."

what sort of life is shepherd offering to the nymph?

turbulent, yet filled with love
peaceful and at one with nature
hard working yet carefree
wealthy and luxury filled

2) "and trouble death heaven with my bootless cries, /and look upon my self and curse my fate"

what mood does shakespeare evoke with these lines from sonnet 29?

determination
resignation
optimism
hopelessness

Here are the answers to the given questions above.
This is based on  "The Passionate Shepherd to his love".
1. The sort of life that the shepherd is offering to the nymph is peaceful and at one with nature. The answer is the second option.
2. The mood that Shakespeare evokes with these lines from sonnet 29 is hopelessness. The answer is the last option.
Hope these help.

#1) What sort of life is shepherd offering to the nymph?

After reading the excerpt presented above I concluded that the sort of life that the shepherd is offering to the nymph is peaceful and at one with nature. This is also clear after in the poem he offers a list of delights that he is offering his love.

#2) What mood does Shakespeare evoke with these lines from sonnet 29?

The mood that Shakespeare evokes with the lines presented above from sonnet 29 is that of Hopelessness. This is very clear when the narrator tells his prayers and cries to heaven remain unheard and he takes a look at himself and curses his own fate.

I hope it helps, Regards.