2 x 5 miles is on the borderline for cycle-specific clothing. Personally, most of my cycle commuting clothes are general purpose hiking gear. My jacket is multi-activity so has a suitable cut and features. I managed for years quite comfortably with fairly low-priced gear. My luxury items are high quality merino wool T shirts.
Cycling waterproofs are never really breathable enough. You may be better off with a good windproof + a waterproof. I find that waterproof pants are essential in the winter, a cycling cut is good but the material doesnt have to be a high grade as a jacket.

The priorities for me would be:
Merino base layer
Good windproof and/or waterproof shell.
Footwear (lightweight, waterproof, not cycle specific)
Gloves.

Good full-length fenders on the bike are assumed.