Lots of options.
First thing though - sowing grass/reseeding/overseeding - wait till late spring or the autumn before you do it.
If you sow spring - wait till end of summer before grazing but only lightly graze - it will help with tillering. Autumn sowing, you may be lucky and lightly graze it about now. In both case's don't allow heavy stocking until the second year.
If you can subsoil then good as it will break up any compaction issues - but this is best done when the ground is starting to dry and crack naturally so ideally in the summer. If very wet you can do more damage subsoiling than you think. Also watch out for any shallow drains crossing the paddock.
You could then cultivated the field surface with a grubber or power harrow, sow seed and roll.
If you plough now, hopefully the frost and weather will break down the furrows for spring. You could them harrow the area and make a stale seed bed. Wait for weeds to grow, spray off, sow and roll. If you don't want to spray off cultivate again and sow on a dry windy or sunny day so that any weeds will wilt.
If you want a clean seedbed in which to sow the seed - plough down or spray off the existing areas.
It may be a case that you get in a sward lifter which will help with surface compaction, aerate the paddocks with spikes, graze short down and then overseed with a high rate of seed and then roll the paddocks.
Bit muddled order - sorry.