Hi Matt and welcome to the forum.
I'm pretty much a noob myself having started serious vaping only last Xmas on top of that I've no experience with that particular vape but maybe I can answer a few of your questions, at least to the best of my ability.
Getting eliquid in the mouth is not abnormal though it usually gets there because of the coil spitting and popping. You hear the noise while drawing and then get a very small hot bit of liquid spit onto your tongue. Some devices and custom builds are more prone to it than others. If there is a leak in a device the liquid usually runs down with gravity, runs through the air flow holes (if they are a bottom air flow which most are) and out onto your mod/battery/fingers. It dosen't normally flow upwards to the drip tip unless you are holding it upside down. While vaping condensation in the coil chamber, the chimney, and the drip tip is common, but again it usually runs down not up and is primarily water.
With no experience with your device it's hard for me to say if the drip tip getting hot is normal for it or not but I see it has a top mounted coil which means the heat of the coil is very close to the tip and your mouth. Some devices have the coil farther away and/or have heat resistance materials in between and/or have air flow to minimize the problem. You can buy replacement drip tips made of non-heat conductive materials, or have cooling fins, or have air flow holes in them, or you can slow your vaping down a bit giving your unit a better chance to cool between draws.
What most likely dripped out was just condensation. If your unit starts leaking you will know soon enough because it will be all over your fingers. Devices with store bought coils are not very prone to leaking but when you put them together it helps to make sure your o rings are all in place and to put a bit of eliquid on them to give them lubrication so they seat properly and last a lot longer.
Lack of flavor can be attributed to a lot of factors including;
- design of your device
- ohms rating on the coil (a higher ohm coil supposedly produces a wetter more flavorful vape)
- the specific juice you are using, its flavor and its VG vs PG makeup
- your coil setup and power settings (not applicable to your device as it dosen't appear to have variable power settings and it has a premade coil)
- airflow, amount and direction
to name a few. I doubt you will achieve what most would consider a flavorful vape using your sort of device, though you should be able to get better than what you have described. Other than moving to a better device (which you will undoubtedly do if you stick with vaping) you can first try to turn down the airflow a bit as that usually brings out more flavor. Next try different ohm rated coils to see if they make a difference. Then you can try different juices. Some juice makers allow you to add additional flavoring which would allow you to compensate for what's lost through this sort of device design. I have two Ijust 2 vapes and they are similar to what you have and yes their flavor is a bit muted but they give reasonable clouds, fit in your pocket easily, and are cheap, so they have their purposes.
The name of the vaping game is experimentation and is in fact much of the fun attached to vaping. There are so many devices out there that when you feel like trading up there lots of folks here who will make recommendations to you. I started with an Evic Mini and a Tron S tank, a nice unit but I've gone beyond that tank to much better ones and am now getting into RTA's and RDTA's big time and am finding them a world away in terms of flavor and cloud production.