The law required women to obtain an ultrasound at least 18 hours before an abortion.
The ACLU of Indiana says refugees scheduled to arrive in the state this week were vetted for years.
The lawsuit argues a Bedford ordinance restricting the content of yard signs violates the First and Fourteenth amendments.
The ACLU had accused the Boone County jail of violating the First Amendment rights of a Muslim inmate under Indiana's Religious Freedom and Restoration Act.
In a federal complaint, Gannon Thomas says the jail frequently serves him pork and other non-Halal meals despite his request for a special diet.
The federal judge indicated a ruling will come before the law takes effect July 1st.
Planned Parenthood of Indiana and Kentucky sued the state in April, calling the law unconstitutional and seeking to prevent it from taking effect July 1.
Planned Parenthood and the ACLU are suing the state over a bill passed this year, which bans abortions based on race, sex, and disability.
This is the first time in the nation a woman has been convicted using a feticide statute for ending her own pregnancy.
Magistrate Judge Debra McVicker Lynch denied IU's bid to intervene in the complaint filed by Planned Parenthood. Lynch says IU can file its own lawsuit.