אם האפליקציה הזאת לא עובדת, אני אעבור לאפליקציה אחרת.

In Hebrew, when this/that is describing a noun, it usually comes after the noun:

האפליקציה הזאת = this app

But זאת האפליקציה is a different structure. It means something like:

This is the app

So the sentence uses the normal Hebrew pattern for noun + demonstrative.

Yes. Both are correct and very common.

• האפליקציה הזאת
• האפליקציה הזו

Both mean this app.
In everyday Hebrew, both are used. הזו is a bit shorter, while הזאת can sound a little fuller or slightly more emphatic, but for a learner, both are fine.

Because אפליקציה is a feminine singular noun, and the present-tense form here agrees with it.

Hebrew present tense behaves a lot like an adjective or participle, so it changes for gender and number:

• masculine singular: עובד
• feminine singular: עובדת
• masculine plural: עובדים
• feminine plural: עובדות

Since האפליקציה is feminine singular, Hebrew uses עובדת.

It can mean both.

Hebrew present tense often covers both:

• it doesn't work
• it isn't working

So האפליקציה הזאת לא עובדת can describe either a general problem or a current one. Context tells you which is meant.

That is a very normal Hebrew pattern.

Hebrew often uses:

• אם + present
• then future in the result clause

So:

אם האפליקציה הזאת לא עובדת, אני אעבור...

means: if this app is not working, then I will switch...

This is a natural way to express a real or likely condition.

You could also hear:

אם האפליקציה הזאת לא תעבוד, אני אעבור...

That is also correct, but it focuses more clearly on a future situation: if the app doesn’t work.

The verb comes from the root עבר, whose basic idea is pass / cross / move over.

In this sentence, אעבור means:

• I will move over
• I will switch
• I will move to

So it does not mean physically walking somewhere. Here it means switching from one app to another.

Because the verb לעבור often takes the preposition ל־ when you mean move to or switch to something.

So:

• לעבור לאפליקציה אחרת
• to switch to another app

That ל־ is the Hebrew equivalent of to in this sentence.

Because אחרת has to agree with אפליקציה, which is feminine singular.

Adjectives in Hebrew usually agree with the noun in gender and number:

• masculine singular: אחר
• feminine singular: אחרת

So:

• אפליקציה אחרת = another app
• יישום אחר = another application/app, if using a masculine noun

Because Hebrew adjectives normally come after the noun they describe.

So Hebrew says:

• אפליקציה אחרת
• literally: app another

This is the standard word order for noun + adjective in Hebrew.

Here it means another or a different one.

That is because the noun is indefinite:

• אפליקציה אחרת = another app / a different app

If you said:

• האפליקציה האחרת

that would usually mean:

• the other app

So Hebrew makes an important distinction here.

Because Hebrew often leaves it out.

English often says:

If X happens, then I’ll do Y

In Hebrew, the then part is usually understood automatically:

אם האפליקציה הזאת לא עובדת, אני אעבור...

You can add אז:

אם האפליקציה הזאת לא עובדת, אז אני אעבור לאפליקציה אחרת.

But it is not necessary.

In normal Hebrew spelling without vowel marks, both can look the same.

That is because:

• ל + אפליקציה = to an app
• ל + ה + אפליקציה = to the app

In writing without ניקוד, both may appear as לאפליקציה.

So how do you know which one it is?
You use context.

Here, אחרת shows that the meaning is indefinite:

• לאפליקציה אחרת = to another app

So here it clearly means to an app, not to the app.

No. In the first person singular future, Hebrew uses the same form for everyone:

• אני אעבור = I will switch / I will move

It does not change for masculine vs. feminine speaker.

That is different from the present tense, where gender does matter:

• אני עובר = I am moving/switching, if the speaker is male
• אני עוברת = I am moving/switching, if the speaker is female

So in this sentence, אעבור works for any speaker.