It is also a good idea to find out individual leadership style and to also find out about the work style of team members. Everyone is quite different and has a unique way of working. Being able to motivate people takes skill and being able to engage people to work as a team can be wonderful.

Leading a team is a combination of having a clear strategy to reach outcomes and having the right motivation to achieve outcomes. Team building is essential and a part of this is being inclusive and facilitating everyone having a voice and contributing to the team working as a whole unit.

First of all, there will always be some people who don’t think you deserve the role. You just need to exude confidence, not authority; they are after all required to follow your directions. The other thing is, if something is not done, or is done incorrectly, keep insisting it be done right. Repeatedly, if need be.

I have worked in many leadership roles and my advice is not to be vocal but to build relationships with your team. Show them values of respect, honesty and reliability and they will see that you are genuine. Seek support from your senior. It sounds like you may have been promoted from within the team and that can be a tricky transition.

I hope things have improved for you and your team

This is pretty vague. But perhaps you need to be clearer, in writing for proof, or be tougher?

I wouldn’t know what is wrong. There are different styles and different teams.
The seven primary leadership styles are:

Autocratic.
Authoritative.
Pacesetting.
Democratic.
Coaching.
Affiliative.
Laissez-faire.