My issue is I don't feel great being the one to always opening up conversation or always planning to meet. I dont just want to be the friend being responded too all the time.
I understand that, in a long term close friendship - but this isn't that, it's a new friendship. Where did you meet this person? Because unless it was at a designated event the main purpose of which is to make friends, then I think it's safe to assume that you're the one wanting the friendship in the beginning and the other person can take it or leave it. Once you become established friends that's when I'd expect to see a bit more effort, if the other person actually was bothered about being friends.
Even if they remain take it or leave it about the friendship it doesn't mean you have to drop them, just accept that it'll never go past casual and don't prioritise them. With those more casual friendships, if you get a better offer and can give a few days notice to cancel (ie you wouldn't be being flaky or rude with a last minute cancellation) then cancel the casual meetup and invest your energy into the more enthusiastic friend.
I personally hate "hi, how are you?" texts with no further information. They're usually sent by people like you (sorry!) who don't want so much to know how I am, they want me to engage them in conversation about how they are. It pisses me off and makes me feel like they want me to entertain them. I mean, if you have something to say, some news to impart, something to ask, then just say it!
Unless I'm unwell or going through something and my friend knows this, then I don't expect to be asked how I am unless we haven't been in contact for months. If you saw me last week and I was fine, then why would I not still be fine?
I'm totally happy to chat via text when I've got time and in an established friendship, but I don't invest that level of energy into new people because so many people these days want friendships that are 99% messages and barely ever meeting up, which is a type of friendship I'm not interested in. So I want to know that the meetings are semi regular, we're definitely friends and that they're not a flaky last minute canceller type before I start spending time chatting via text. And even then I won't initiate a chat unless I have something to say, I'll never send a "hi, how are you?" unless I know they've been ill or are going through something.
Long text chats take up more time than you'd think. If I've got time for that, I've generally got time to meet for a quick coffee, so I'd suggest that instead of starting a long chat over messages. I find if I'm having a long ongoing text chat with someone I barely get anything done that day/evening until the chat is over. And I've always got a long list of things to do, I'm not sitting around scratching my butt and wishing someone would text me 🤷
I don't think you're needy as such, just that you could be coming off as too intense. And not accepting that at least in the beginning a new friendship is going to mean more to you than it does to the other person - because you're the one looking for friends, not them.
You've got to give time for the friendship to develop. At the moment you're trying to go from 0 mph - 60 mph in one meetup. Like the friendship equivalent of having a one night stand - and then assuming the person is your new committed partner who isn't going to look at anyone else and wants to see you several times a week and spend all their weekends with you. Just relax a bit and let friendships bloom slowly. Otherwise you risk scaring people away.