due > appropriate, fitting

3 And love to dislodge out of its nest: 4 Still when her excellencies he did view,

Still > Ever excellencies > {Surpassing merits}

5 Her sovereign bounty, and celestial hue,

bounty > virtue, goodness hue > appearance

6 The same to love he strongly was constrained:

The same > [Those qualities]

7 But when his mean estate he did review,

mean > lowly estate > rank, status; condition

8 He from such hardy boldness was restrained, 9 And of his luckless lot and cruel love thus plained: