If you are comfortable with the support role and want to keep playing it, I'd say give support Zyra a shot. And do it like a man, the korean way.
Spec 1 | 23 | 5 grabbing summoners wrath in offense, all the goodies in defense and mana regen, summoners insight and improved recall in utility (you can put your last point in good hands or something).
Next up, runes. Armor marks and seals, mr glyphs and HP quints.
As summoner spells, get ignite and flash/exhaust.
The game starts, buy 5 pots, 4 wards and head to lane/help your jungler/defend the other buff. If the enemy does not invade lvl your Q first, E if they do.
Minions have spawned, now is the time to show 'em! Go into your lanebrush and start the beating. Every time anyone gets close to you, make them eat the green stuff. Auto them all the time (preferably the enemy adc) and chuck potions as necessary. If your adc joins the fun, ignite and exhaust if you have to to get them as low as possible or kill them. It's alright if you dont kill them. They should be really low by now and you dont even dinged lvl 2. They have 2 options: 1) hang around with low hp to get the exp or 2) back, heal, buy some potions and come back.
If they hang around, ward the river and tribrush and punish them under their turret (this works best with Varus or Cait as your adc)
If they go back to base,ward and push to their turret. You can choose to keep the pressure up and get a lvl advantage or play it safe and back.
If you got a kill (or 2) you should push as hard as possible and back asap. Depending on who got the first blood (it should be first blood at this point in the game), your adc should get another dorans blade. You should get ... a dorans shield. Yes a shield. Now you are nearly untouchable in lane and you can bully them around as you like.
Your next items should be a sightstone, haunting guise (can build a Liandry's if the game is long enough), boots (ludicity is great on Zyra) and wards wards wards. If your team stomps them (all lanes are winning) you potentially can just go straight AP and tell those wards to go fuck themselfs. Stomp even harder!
The Lane should be easy from now on. Starting lvl 2 you can zone them even better with your plants (just dont use them when near their tower. They are turretshot magnets)
lvl up your skills in this order. Q,W,Q,E,Q,R R>Q>E>W
Well, this got much longer than expected, but i hope i could help.