Welcome back! Glad to see a returning player - a lot of quality of life changes have been made since 2012 here on the Homecoming servers. If you're an avid patch note investigator, I would recommend reading through the changes made over the past few Issues (25, 26, and 27) and their "Pages" or more focused updates (i.e., 1, 2, 3, etc.). Check out the fairly updated Homecoming City of Heroes Wiki for all the details: https://homecoming.wiki/wiki/Main_Page
To answer your specific questions:
The Long Range Teleporter (along with the powers referenced below) are part of an improved player travel concept here on Homecoming. If you're interested in a longer in-depth discussion post, I will refer you to the below 'Spoiler' window. Long Range Teleporter is unlocked by the Passport Accolade, which itself is unlocked by collecting an exploration accolade in any zone with a Base Portal (see the "Complete Base Portal List" below for reference), or using the other two methods below;
Unlock the Pocket D VIP Gold Club Member badge (for spending 1 hour in Pocket D) and the Long Range Teleporter accolade power will unlock as well.
Players can purchase the power for 1,000,000 inf from a Pay 2 Win (P2W) in Paragon City and the Rogue Isles or Transact 4 Victory (T4V) in Praetorian zones. These vendors are in nearly every single zone, so if you open your mini-map, just look for their name/icon and 'check out their wares.'
In addition to the above, the below powers are consolidated together in the Fast Travel macro icon which is automatically added to your character when you unlock any of the below powers:
Accolades
Long Range Teleporter
Prestige Travel
Supergroup Portal
Base Transporter
Mission Transporter
Day Job Powers
Rapid Response Portal
Monitor Duty Teleporter
Ouroboros Portal
Team Transporter
Assemble the Team
.... and to answer your second question; yes there is a portal to access Cimerora. It is located in the Midnighter Club (see below screenshot). In order to access the Midnighter Club, you will need to either complete the Initiation mission or travel to the Praetorian Night Ward zone and then in to the Midnighter's House to secure the "House Hunter" badge which will subsequently grant you the ability to enter the Midnighter Club in Paragon City/Rogue Isles and then get to Cimerora.
Players can also access Cimerora via the Looking for Group or LFG tab on their Chat bar once the zone is unlocked by selecting the "Time's Arrow" Task Force and selecting "Lock the event for your group" and the clicking "Enter" once the que pops up.