Hello Neeraj,
Here are the response to your queries.
1. I want to remove category tags from the home page. Presently, the category tags show up below every headline on the Home page.
Response: In the free theme, there are no options to hide categories from the home page. So, add this css in customize additional css.
.home.page .below-entry-meta{
display:none;
}2. Also, please help me with CSS to remove comment count from the slider and featured posts on top of my website bharatbolega.com
Response: Your are using different slider than our default theme slider.
3. I would be grateful if you can also provide me CSS to remove excerpts from the Home Page. Presently, excerpts appear below headlines on Home Page.
Response: You mean, you only want to show the title of the post in home page. If I am right then please response this query we will provide you custom css to hide the excerpt from the home page