Hi Kenzie, and welcome.
OK,...with regards to your concerns about empathy and interpersonal bonding (family, friends, etc.). This is actually one of the hallmarks,...key symptoms, of someone with an autism spectrum disorder that psychologists will assess during interviews. So, this is "normal" for someone with an ASD. A high percentage of us will be as you described. This is NOT to say that ALL persons with an ASD with have these symptoms,...so be careful with generalizations,...the word "spectrum" is in the label, itself.
For further clarification, there are two basic types of empathy,...cognitive and emotional. Cognitive empathy refers to something called "theory of mind". It allows you to "put yourself into another's situation", imagining what it would be like if you were to trade places with the other person. This is a higher order of thinking that has only been identified in humans and great apes. You can read up on this, but it comes from something called the "limbic system" and involves areas of the frontal lobe called Brodmann's areas 10 & 11. If you have low levels of cognitive empathy, in life, this means that you are less likely to think of others when they are away from you,...an "out of sight, out of mind" kind of mentality. You may like your friend and have a great time with them when together,...but less likely to phone and text them just to talk. You might not understand that the other person is actually thinking of you, and wondering why you aren't reaching out to them, they may begin to feel you might not actually be their friend, that you don't love them. You see where I am going with this?
Emotional empathy is a primitive system that nearly all animals, birds, fish, have. It is located in Brodmann's area 44. It is a "mirroring effect". I see you cry,...I want to console you,...I may cry with you. You see me get angry with you,...your defense systems kick in and you immediately respond with anger of your own. You see a group of people getting fired up at a political rally,...and then they are storming the White House. You see a flock of birds taking off together, and they fly beautifully together in a mass. Same thing with a large school of fish responding to a predator. Personally, I find it interesting that when my brother died,...I cried like a baby with his wife and kids,...but didn't really grieve for myself and my loss. That was my lack of cognitive empathy, but strong emotional empathy.
Cognitive and emotional empathies are two different systems working from different areas of the brain. So, be specific when you say "I don't have empathy". You likely do. You likely feel emotions very strongly, at times.
The social bonding thing,...that too, has some neurological basis. Many folks with ASD will have varying degrees of difficulty with social bonding. This is due to how autism affects the hypothalamus and posterior pituitary. The hypothalamus is the processing center for the anterior and posterior pituitary,...the posterior pituitary, amongst other functions, secretes the hormones oxytocin and vasopressin,...the "love hormones". These hormones aid in the bonding between individuals (mother and baby, boyfriend and girlfriend, etc.) but are also partly responsible for social motivation (walking up and introducing yourself, texting your friend, going out to the mall, etc.). No surprise here,...many of us are low in these hormones and tend to be more introverts and generally have a difficult time bonding with family and friends.
So, based upon what you have described Kenzie,...you are normal,...welcome to the club.