Okay, so looking things up and attempting to cross-reference because the free "basic rules" doesn't really do that good a job at walking you through this stuff and doesn't include paladins and half-elves:
Half-elf:
Stat bonuses (already accounted for)
Skills: Choose 2 (Nature and Survival)
Darkvision
Resistance to charm, immunity to sleep spells.
Languages: Common, Elvish, and one more. Let's go with Draconic, since there are Lizardfolk in the woods and that's what they speak.
Acolyte:
Skills: Insight and Religion.
Equipment: Holy symbol (amulet). Prayer book, 5 sticks of incense, priestly vestments, common clothes, pouch with 15gp.
Feature: Free healing at most temples for me and the party (must provide spell components), free room & board for me at temples and shrines of my religion. Support from clerics of my god.
Paladin:
Proficiencies in all armor, shields, simple and martial weapons.
Saving throw proficiencies: Widsom & Charisma.
Divine sense: As an action, can detect strong good or evil in the area. Can use it 3 times (1+CHA mod) per day.
Lay on Hands: Can heal 5xlevel HP/day. Can use 5HP from that pool to cure disease or poison.
Starting gold: 5d4*10.
I rolled a 10. I don't know if we're doing starting gold that way, but it gives me a ballpark.
Skills: Choice of 2 from a limited list. I'll go with Medicine and Athletics.
Equipment: Martial weapon (battleaxe), shield, five javelins, explorer's pack, chain mail, holy symbol (already covered)
So I've got 115 gp to spend.
Equipment:
Already have:
Chain mail (AC 16)
Battleaxe 1d8 slashing damage. 1d10 if wielded two-handed.
Shield (+2 AC)
5 javelins
Explorer's pack: Backpack, bedroll, mess kit, tinderbox, 10 torches, 10 days rations, waterskin, 50 feet of hempen rope.
Acolyte kit: Holy symbol (amulet). Prayer book, 5 sticks of incense, priestly vestments, common clothes.
Buying:
Longbow (50gp) 1d8 piercing damage. Range 150/600.
20 Arrows (1gp)
Quiver (1gp)
Healer's kit (5gp)
Hunting trap (5gp)
Leather worker's tools (5gp)
Wood carving tools (1gp)
Cook's utensils (1gp)
Deck of cards (5gp)
Herbalism kit (5gp)
Sewing kit (1gp) - not listed, but I'm assuming roughly equivalent to weaver's tools
Total: 80 gp. Leaving me 35gp in my coin pouch.
Physical description: Young (22) half-elf. Brown skin, dark brown hair, green eyes. Stocky build for an elf, but somewhat slender by human standards. Height 5'10" (just under 1.8 meters). Weight 155lbs (around 70kg).
Alignment: LG
I took the tools because I like the idea of him having them. They seem fitting. But his class and background don't give him proficiencies with them, and I don't see the rules for gaining those proficiencies other than expending a feat. But I don't think I get a feat? Unless I take that feat at level 4 instead of ability score improvement? But I can still use the tools and just making the requisite dex check or whatever, right?
How's that? Look good? Am I missing anything?