James Kerman

That is known as an orbital rendezvous and is what I use for rescue missions. It sounds really tricky but once you set up the parameters and it's just a matter of patience and quickly becomes routine.
The last graphic in this illustrated guide (Parallel Orbit Rendezvous) is the safest way to learn how to rendezvous (RV).
Ideally, if you get your intercept close to 0m you should just drift up to your kerbal, press either [ or ] (this cycles through all objects within 2.2km) and fly the kerbal to the rescue ship.
Now I remember all this sounded very intimidating to me when I was first learning  so if you have any problems or questions please don't hesitate to ask.

Congratulations! 
It took me a lot of time to be able to do what you have done in the last few days so I'd say you're probably a natural spaceplane pilot and designer. Onward and upward!
Using this online tool it looks like you'll need around 1350 to get to the system so you'll probably need to use some gravitational assists off the moons to get to Laythe (the only other place in the stock Kerbin system where you can use airbreathing mode) and refuel.

Welcome to the forum @MarceloGames_BRBR!
If you are playing a career game you will need to upgrade the tracking station and mission control before you have access to patched conics.
The good news is that you can always see it during a flight by clicking manoeuvre mode in the bottom left of screen (circled in red):

Maybe add a monopropellant tank and some thrusters, it should work well on a low mass lander like that if you have the parts available in the demo.

Welcome to the forum @_TAB_, your issue has been moved from KSP discussion to here, our dedicated modded support subforum. One thing that really assists our community of problem solvers is reading through this post and following the instructions for posting your log files:
 

This is because the terrier has a much lower mass compared to the poodle which affects the dry weight of your rocket.

Welcome to the forum @Beardy_McBeardface86, please try this workaround:
 

Welcome to the forum @theCAVE, your issue has been moved from KSP discussion.
Some mods are version sensitive and others require additional software to run. CKAN can automate the install and update process for many mods.

Welcome to the forum @User_ksp and sorry to hear about your issue. Two things I would try are 1) update my graphics card driver or 2) try running KSP as an administrator.

Welcome to the forum @[ Content Deleted 63895 ],
I have not encountered this issue with the game but if you bought KSP on steam you can try verifying your local files;
https://support.steampowered.com/kb_article.php?ref=2037-QEUH-3335
If you got the game from the store you can try backing up your save and reinstalling.

Welcome to the forum @F-1'69.
I believe what you are seeing is the information displays that come with the mod Kerbal Engineer Redux. Unfortunately there is no way to add it to console versions but much of the information has now been added to the PC vanilla game and I hope will soon be added to console versions.

Welcome to the forum @theredsox.
Sorry to hear about your troubles. What I would do is first make a backup of my save (found in the KSP/saves folder) then access the debug menu (Alt + F12) and complete the mission there. Should fix it.

It is now safe to stage parachutes before you hit the atmosphere - they will deploy when it's safe.
At what altitude did your kerbal pass out?