QUESTION 1:
Setup a catchall .htaccess 301 redirect to point http:// to https://
(So the age of your page is transferred to the https:// pages)
QUESTION 2:
In short: No
But
It wouldn't hurt to make sure you have a canonical tag on all your pages pointing to the preferred url structure
For example these 2 pages load 1 page (and both URLs work):
http://singlespeedbikes.co/abacabb-2-0
http://singlespeedbikes.co/abacabb-2-0/
But the cannonical tag on this page tells Google which URL it should index to avoid confusion with duplicate content etc, example:
<link href="[http://singlespeedbikes.co/abacabb-2-0](view-source:http://singlespeedbikes.co/abacabb-2-0)" rel="<a class="attribute-value">canonical</a>" />