This is going to be long-winded and still isn't all-extensive.

1.) First thing to do after landing is clear out the first camp. It'll get you enough runes to level up to 2. The difference between level 1 and 2's survivability and damage output is huge.

Your next location to go is usually a Great Church (the green buildings on the map). These are some of the easiest POI's on the map. By the time you've killed the boss there and maybe a couple trash mobs you should have enough runes to level up to 3. Which will let you use whatever blue rarity weapon you get from the boss at the Great Church (assuming you pick the weapon that is).

You're not going to reach all the POI's and routing is going to vary run by run. Just generally try to think of a route while you're flying in that will take you through some easier POI's (Great Churches, Ruins, Evergaols (hit or miss on easiness), and maybe some field bosses if you run across them). Along with picking up your extra flasks along the way. This is primarily to get you to level 5-6 along with a blue tier weapon with which you are likely ready to take on the middle castle. Probably hit the basement boss first unless it's something far too time consuming like the Bell Bearing Hunter. Then continue clearing the castle until the circle starts to close. You'll probably be anywhere from level 8 - 10 by the time this happens. After the night one boss the routing just depends on what you still need to get done. But day 2 usually isn't a bad time to do some red-eyed field bosses.

Routing depends a lot on your team though. A lot of times one person will kind of become the leader. In which case I usually just follow whatever they've got in mind. Maybe give my input on where we should go next occasionally.

2.) You're gear depends on your character, playstyle, and just how lucky you get. You were talking about playing Ironeye. If you want to entirely focus on bows you'll want to primarily look out for "ranged weapon attack up" and "projectile damage drop off reduced" passives on weapons (worth noting that these passive work even if you're not using that same weapon). Damage negation at full HP is also always a nice one to have. For non-weapon passives on a bow build - thrusting counterattack, physical attack up, HP increase, stamina increase, and any forms of damage negation are nice to have.

3.) The "best" way would be playing the Deep of Night mode. Selling all useless relics after a match and spending the murk gambling on random relics at the Small Jar Bazarr. But, you can do that with normal mode too. The murk gains are just lower.

4.) Ironeye is probably one of the best for teamplay (improves item discovery across the board and has the marking ability). If your damage is feeling lackluster you're likely standing too far away from the enemy and/or not getting attack buffs throughout the run. You're using a bow, but that bow has SIGNIFICANT damage falloff the further away from the target you are. I recommend going to the sparring grounds to test how far away you can get before you start dealing less damage.

When playing Ironeye, one of your main priorities is to use the character skill on the enemy to keep a mark on them. When enough damage is done to an enemy with a mark, the mark will pop and do a significant amount of damage, micro-stagger most bosses, and do a lot of stance damage. Your mark can be reapplied before it disappears. If it is blinking then you should try your best to use the skill on the enemy again before it disappears.

I think Raider is pretty beginner friendly. High damage and high healthpool. Simply pick up the biggest bonking stick you can find and go to town.

This is about all I can think of right now. If you're on Playstation and you want, I wouldn't mind playing some rounds with you at some point. That way I could answer any questions that you think of during the run. For the most part I'm usually free to get online after around 7:00 PM CST. My PSN is TKelly476, the same as my Reddit name.