[The following changes are based on my interpretations of your intended meaning]
connectors
I am not sure but I will go with you
At present I don't have any time to study.
Peter went out a few minutes ago. Meanwhile, Anne was waiting for him.
I saw you as soon as you arrived
I speak a little English but neither my parents nor my siblings speak any language.
I want you to know that I love you. Otherwise, I wouldn't take care of you.
Even though I have several problems I want to continue with the travel.
Even though you are far away and in spite of not being in touch I still remember you.
I study a lot. Even so, I am still not achieving very good results.