Did you take any pictures of what she laid? Sometimes a malformed shell can look like lash material, seeing it would be helpful. Or if you cut that open and see what it looks like inside.
If it's lash material that would indicate salpingitis, which is infection/inflammation of the oviduct. But usually they cease laying when that happens. The two eggs with no shells, might be something else. First thing I would do is get her on some calcium. Calcium citrate +D (Citracal or generic equivalent) is best absorbed. Aim for 600-800 mg once a day. Just put it in her beak, push it back, she will swallow it. No worries if it looks 'big', they can swallow a frog or lizard. If she's deficient that will help get levels up, and it will help with contractions to help her expel anything still in the pipeline. Soft shelled eggs or no shell eggs can be very hard for them to pass and can make them feel pretty awful. If one was slowed down, then more than one can get in the pipeline at the same time, probably why she laid two so close together. I would continue the calcium for a couple of weeks, or until you see her lay normally. Hopefully it's just a glitch, which can happen. If it persists then she could have a reproductive problem brewing, not uncommon in hens over 2 years old.
If it's lash material that would indicate salpingitis, which is infection/inflammation of the oviduct. But usually they cease laying when that happens. The two eggs with no shells, might be something else. First thing I would do is get her on some calcium. Calcium citrate +D (Citracal or generic equivalent) is best absorbed. Aim for 600-800 mg once a day. Just put it in her beak, push it back, she will swallow it. No worries if it looks 'big', they can swallow a frog or lizard. If she's deficient that will help get levels up, and it will help with contractions to help her expel anything still in the pipeline. Soft shelled eggs or no shell eggs can be very hard for them to pass and can make them feel pretty awful. If one was slowed down, then more than one can get in the pipeline at the same time, probably why she laid two so close together. I would continue the calcium for a couple of weeks, or until you see her lay normally. Hopefully it's just a glitch, which can happen. If it persists then she could have a reproductive problem brewing, not uncommon in hens over 2 years old.