I am starting a campaign and I need some advice, I have yet to find any 5e advice on building a party online.

I have three players who will make the party and I will DM. My issue is that since I am new to 5e (but have played one campaign of 3.5) and none of my players have ever played d&d before I am not completely sure on how to build a party.

**Please give party composition recommendations for d&d 5e?** I am looking for specific recommendations for my group, and general advice for future campaigns is an added bonus. Is a paladin and two rangers a bad party? Should I encourage my players to consider other classes?

My players have voiced interest in playing a paladin, a ranger/archer, and an arcane archer. I am not sure whether or not that sort of party will be fine or not. The latter two have mentioned a willingness to change if the party needs something.

Additional information:

 - Warlocks are banned, Sorcerers and Wizards are allowed, but fluff for the campaign setting might impose some limitations. I allowing all races including the Eladrin elf subrace DMG 260, and the races in the Elemental Evil Players Companion.

 - Player 1: Dragonborn Paladin (Has not yet chosen an oath. P1 wants to be a utility tank and thought that paladin was the obvious choice without knowing much about any class whatsoever.)
 
 - Player 2: Ranger/Archer (Probably a Hunter. Has a willingness to change to a spell caster to fill out the party if that is necessary.)

 - Player 3: Arcane Archer (Described his ideal character as an archer with magic sounds like a ranger to me, but I could also see a rogue w/ arcane trickster. P3 is willing to do something else to fill out the party if necessary.)

 - All players have a desire for good team synergy.

 - A same page tool will be used, and all players will build characters together.