Hey Neil,
You unfortunately can only hide both things with CSS. We cannot help with customizations and custom code, unfortunately (see this page for more information about that → https://theeventscalendar.com/knowledgebase/what-support-is-provided-for-license-holders/).
These two customizations are simple, however, so I’m happy to help!
1. For the “tickets remaining” field, add CSS like this to the bottom of your theme’s style.css file:
.woocommerce .tribe-tickets-remaining {
display: none !important;
}
2. For the “Don’t list me on the public attendee list” checkbox, add CSS like this to the bottom of your theme’s style.css file:
tr.tribe-tickets-attendees-list-optout {
display: none !important;
}
Cheers,
George