As a team leader you are responsible for project planning, scheduling, communicating your project status to your manager and most important task of assigning and monitoring the project work. Your main responsibility is to build a team to achieve your project goals. You need to focus on handling the challenges in your project so that your team and project will grow and perform well.
As far as the standard testing process is considered, it’s depends on you - what procedure you want to establish. Yes some people might blame me for this point but I prefer to establish my own processes that work for me. I don’t stick to those old process definitions that are written and managed in some 90’s and most of which might not applicable nowadays.
Test lead is responsible for ensuring project plan changes are incorporated in test plan. You might write a test plan and test strategy (In some cases it might be written by senior test team member or even by project test manager) Ensure the work is going according to this test plan. Identify the risks and try to mitigate them. At the end of project testing life cycle ensure that all test objectives are accomplished and acceptance criteria is met.
More TL responsibilities includes: Test Case Review, Requirements Validation, Monitoring the execution of manual and automated test cases, Prepare test summary report and Communicate test status to seniors and prepare corresponding documents.