Never mind! I found it out myself. But in case anyone in the future needs to know, the coding is this:
For the submenu issue, go to:
Customize > Layout > Primary Navigation > Navigation Dropdown > Click – Arrow
Then add the additional CSS:
.menu-item-has-children .dropdown-menu-toggle {
display: none;
}
.main-navigation .main-nav ul li.menu-item-has-children>a {
padding-right: 20px;
}
To get rid of the page names, just add:
.entry-title {
display: none;
}