It's so nice to read such a well-expressed, objective appraisal of your circumstances. I think it would not be inaccurate to say that you are dealing with extreme, perhaps extraordinarily extreme, negativity. It may not be just the 30 years but since you have referred to "lifetimes" implying that other lifetimes are in the background, how many lifetimes "past" have contributed karmically to the present day experience? I'm only saying this to try to point out that this lifetime may be quite important and may be a turning point. It may be helpful to proceed on the assumption that karma is real, and that major negativity can be brought into this life to be resolved. Hopefully, this might promote patience, tolerance, and detachment (the key) from oppressive forces.
In practical terms, the shaking is nothing to be concerned about. Any reasonable spontaneous body movement during emotional release work in general is allowed and even encouraged, and I have seen this often in clients. I would take it as a sign that you are doing effective work. I especially like that you are breathing into chakras, and have identified the core feeling of heart-based loneliness, with its accompanying first-level emotion of shame, which has driven you into the addictive acting-out. On the other hand, anything can be taken to an undesirable extreme, referring to the body shaking. The energy going up the spine could be construed as kundalini movement, and this can be both good or premature, in which case it can be harmful. Just take it easy and make sure you are not pushing too hard with the work. Maintain balance. If you are having intense sessions, maybe do just one or two a week. Be careful with the kundalini and keep it under control. Maintaining a slow smooth breath with no pausing between in and out can help calm down violent inner energetics.
On the feelings lingering, make sure you are ending the session carefully according to the steps. Close the door to the subconscious, ground down, seal the aura again, etc.
The sexual issue is critical. I agree that it can be the effect of the other heart-based feelings - and that's a nice insight - but also it can have either developed into, or can actually be a core karmic issue in itself. This would pertain to the third, or second chakra, in the 10 chakra system I use. So go into that chakra, focus there, feel it, breathe into it, process the feelings there. The excess activity and then the inability to express sexually are both indications of blockage in the lower chakra(s).
I would recommend that you find someone to work with. The energetic blockage in the lower (and heart) chakras will respond to energetic therapy. There are many types of healers: EC Facilitators work energetically, even at a distance, and direct energy into the chakras to free them up. Other energy healers can also be used: Reiki, shamen, crystal healing, energy healers in general, but I probably would not recommend EFT. The object is to direct strong positive pranic healing energy into the chakras, and to give you more of an energetic boost than you can provide for yourself. This unblocks and releases the negativity into awareness so it can then be processed with the EC steps. In addition, you can gently incorporate yoga contractions (mulabanda) on the perineum to work from the physical to free up the energy in sexual chakras. I talk about this in Deep Clearing with regard to a sexual addiction case. Also a meditative yoga practice in general if you are not doing it now can be healing and smooth out the body shaking.
Last, and I don't want to alarm you, but don't want to hold back anything either: Your case strongly suggests the possibility of entity attachment. I am no longer seeing clients, but in my last 8 years or so of practicing, after I became aware of this phenomenon, I included working on this level with about 20% of my clients, and found it very helpful. The entities take hold on the psychic level and it can sometimes be hard to dislodge them, but it can be done. Refer to my article on Spirit Releasement on the emclear website in the Emotions section. There are two ways to approach this: continue to work energetically and with emotional processing and assume they will drop off as negative feelings as cleared, which often happens; or if things don't seem to improve, try to release them directly with the help of a spirit releasement specialist, which you'll have to search for, and which would be my choice. The spirit attachment condition is actually common and should not induce fear or panic.
So, hang in there. I know the system works. Try these suggestions and assume you are undergoing a major life redirection.