I did the Camino Del Norte late March to early May this year. I would suggest that you be equipped for very wet and muddy trails. Trails are fine if it hasn't rained recently, but if you do get rain some sections of the trails into mud chutes where steep and ponds on the flat sections. To clarify, most of it will be fine, but a few times a day you would find yourself navigating swampy and creek conditions.
If you have high, waterproof hiking boots, no problem. If you prefer more trail-runner style, then I think you will be unable to avoid soaked shoes and socks at some points. As noted above, gaiters would also be handy.
I wished I had taken my Bridgedale waterproof socks. I probably only would have used them on few stages, but on those stages they would have really helped.
Alternatively, take a few pairs of spare socks that you can rotate through. Don't assume you will be able to dry out socks overnight, especially if staying in albergues: The air is damp along the coast and the albergues tend to be frugal with heat, so clothing was often still damp in the morning.