Hera: "It's for Ezra. We are liberating his home, and we need your help, all of you."
First, the phrase "old friend" is also used in Attack of the Clones (where Palpatine suggests "an old friend, like Master Kenobi" to protect Padmé [6:34] and Count Dooku calls Mace Windu "my old Jedi friend" [1:50:24] and just "old friend" [1:56:05]), in Revenge of the Sith (where Obi-Wan says, "Goodbye, old friend" to Anakin as he leaves for Utapau [51:13] and Yoda refers to Qui-Gon as "an old friend" [2:09:56]), in A New Hope (where Leia sarcastically says, "We, uh, ran into some old friends" when Han asks her and Luke where they've been [1:31:33]), in The Empire Strikes Back (where Yoda says that through the Force, Luke will see "Old friends long gone" [1:17:05]), and in Return of the Jedi (where Luke says, "I have a promise to keep to an old friend" [37:37] and Han calls C-3PO "an old friend of mine" [1:11:53]).
Second, variations of "we need your help" appear in The Phantom Menace (Queen Amidala tells Jar Jar, "I need your help" [1:37:55]), Revenge of the Sith (Obi-Wan says, "Padmé, I need your help" [1:38:44]); and A New Hope (Obi-Wan says, "I need your help, Luke. She [Leia] needs your help." [36:03]).
2:07 - Hondo (after Wolffe says, "Those are difficult odds"): "I agree, but that boy has spirit." In Revenge of the Sith, Anakin says, "I agree" twice (once after Obi-Wan says that Anakin is not helping by firing at the buzz droids on his fighter: "I agree, bad idea" [6:04] and once after Palpatine explains that the Jedi would kill the two of them and the senators [1:17:36]). Yoda also says it twice (once to Ki-Adi-Mundi's suggestion that it's Obi-Wan who should confront Grievous [49:09] and once to Obi-Wan's suggestion to turn off the retreat message coming from the Jedi temple [1:30:50]).
4:02 - Imperial officer (to Governor Pryce): "We've scanned the outer reaches, and we found the remains of several small encampments, but no signs of the Rebels' current whereabouts." In A New Hope, an Imperial officer gives a similar briefing to Tarkin: "Our scout ships have reached Dantooine. They found the remains of a Rebel base, but they estimate that it has been deserted for some time." [1:02:46]
8:30 - Hera (to Rex): "Coming up on Lothal." In A New Hope, Han uses the same expression when he says, "Looks like we're coming up on Alderaan" [1:02:27].
11:03 - Ezra (wondering out loud): "Hera, where are you?" The same sort of situation occurs near the end of A New Hope, where Luke exclaims, "Blast it, Biggs, where are you?" [1:49:09].
11:13 - Hondo (to Rex): "Patience, patience, my friend." Palpatine says basically the same thing to Vader in Return of the Jedi: "Patience, my friend" [38:57].
12:56 - Zeb (about the stormtroopers): "There's too many!" A rebel pilot says the same thing in Return of the Jedi (referring to TIE fighters): "There's too many of them" [1:35:13].
14:23 - Ruhk (to Zeb and Ezra): "Drop your weapons." A battle droid also says this to Obi-Wan and Anakin in Revenge of the Sith [9:05].
15:08 - Governor Pryce (to Ryder): "Stand up, my old friend." See above, 1:48.
19:04 - Hondo (in the nosegun of The Ghost): "I got him! I got him!" He actually doesn't hit anything, but this is also what Luke says after successfully shooting down one of the Imperial sentry ships in A New Hope: "Got him! I got him! [1:35:25]