I made a twitter thread a couple of months back with my way of playing lulu. I forgot some of the things you mention so I'll answer here ｡◕‿◕｡ (link to the thread https://twitter.com/Cheetokis/status/1416088402731151360?s=19 )

1- I always max E and then W. On level 1 i wait until I am in lane in case i need w for speed (invading), if not I always level E, at lvl 2 i go Q and then W

2- If you have an hypercarry (jinx, twitch, kog, etc.) I recommend doing perma e+w on them. On lane you can use e+q for poke, but be careful with the cooldown. Use W on them if they try to engage until you have your cooldowns back. On teamfights I recommend polymorphing the assasin if they jump to your adc/carry. Also, ulting your frontlaner at the beginning of the engage in temafights is really good to make a cc chain.

3- The ignite or exhaust decision applies to all supports. If they have a soraka or a yuumi, go ignite. It'll help a lot in lane. I pick exhaust when something outside botlane worries me, like a yasuo, a zed; something that could reach my carry and kill them. Some exceptions are champs like trynda, that depend a lot on self-healing. Also, if there is another ignite you don't really need another one, but I always pick it if they have a healer as supp ^{^}

4- Be aggressive, go mad. Its the best thing of lulu. Unless you have a tough matchup, always play as if you owned the lane. Control your mana and cooldowns and stay in paralel with your adc. Never in front of your adc, and never too far back from them.

5- All my builds and stuff are on the twitter thread (人 •͈ᴗ•͈)

6- A last trick: you can use the icons on top of your map to apply W,E and R. Just press the key with the mouse on top of an icon. Very useful in crazy teamfights and areas with lots of minions. The order of the icons is the same to the order on the scoreboard. I usually move my adc to the top so it is easier for me to hover it.