Without more detailed information (specifically height and weight), it is impossible to give you a personalized recommendation. If you update your question with these details I can come back and give you a more in-depth and relevant answer.
There are three very important guidelines to keep in mind regarding weight loss.
- To achieve weight loss, you need to consume fewer calories than you use.
- If you consume too few calories, bad things happen.
- Weight loss and strength gain are mutually exclusive programs.
Let's expand upon these points so you can see exactly what I mean.
Point #1 shows us that weight loss happens when consumption is less than usage. There are three possible ways we can make that statement true: we can lower consumption (dieting), we can increase usage (exercising), or we can do both. Doing both is usually the recommended path because it is a lot easier to maintain. You are currently doing both and that is a good thing.
Point #2 raises a red flag and says that you need to be careful about how much you eat. Your body burns calories constantly; even when you are sleeping/stationary! The amount of calories your body needs every day just to stay running is known as your BMR (basal metabolic rate). If you consume too few calories and get too close to your BMR, then your body goes into a sort-of "crisis mode." When in crisis mode you body starts burning muscle for fuel and keeps your fat as reserves... this is the exact opposite of what you want! Too avoid this scenario, you need to make sure your final caloric intake is enough to support your body and not send it into crisis mode.
Point #3 is actually somewhat misleading, because they aren't technically exclusive, but instead they are competing against opposite goals and as a result they detract from one another. Muscle gain requires a caloric excess to fuel growth, so your options become 1) over supply the body with calories for optimal gain but some fat gain, 2) guesstimate the target calories and maintain BF but not gain optimal muscle, 3) dont change anything, little muscle gain but some fat loss. The same applies in reverse, as when you do cardio under anything but the most perfect conditions you will be losing at least some muscle in addition to the body fat. TL;DR: you can do both at the same time, but will see sub-optimal results as opposed to just pursuing one.
You'll want to remember that if you are working towards the two goals of losing weight and gaining muscle, that you'll not want to use body weight as your metric for tracking progress. Instead, you want to calculate your BF% (body fat %) because your muscle gains will directly increase your weight and make you feel like you aren't achieving your goals when you really may be!
Should I be eating more even though I'm trying to lose weight? I have been told:i'm only eating enough, my caloric intake is too little and consuming 1300 calories is dangerous.
Again, I cannot answer this question without knowing your height/weight, however I can tell you that this is dangerously low for the majority of people (especially those who are trying to lose weight). When you take into account that you are also burning 350 calories from exercise, your actual daily caloric intake is less than 1000, which unless you are a 100 pound model is not a healthy intake.